Question

Women are recommended to consume 1730 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 11 women who participated in the study is shown below:

1909, 1796, 1821, 2038, 1563, 1690, 1959, 1639, 1683, 1763, 1968

Assuming that the distribution is normal, what can be concluded at the αα = 0.01 level of significance?

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
2. The null and alternative hypotheses would be:

H0:H0:  ? μ p  ? < ≠ > =       

H1:H1:  ? μ p  ? = ≠ < >    

3. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.

Answer 1

a) t-test for a population mean

b) H₀: = 1730

    H₁: 1730

c) = 1802.6364

   s = 152.2025

The test statistic t = ()/(s/)

                                = (1802.6364 - 1730)/(152.2025/)

                                = 1.583

d) P-value = 2 * P(T > 1.583)

                   = 2 * (1 - P(T < 1.583))

                    = 2 * (1 - 0.9277)

                    = 0.1446

e) The P-value is >

f) Fail to reject the null hypothesis